(d) Make a table that displays each event from (b) and the corresponding probability from (a). This is a probability distribution for the number of yellow shirts drawn when two shirts are randomly pulled from the drawer.

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PLEASE ANSWER (d) ONLY. a-c have been answered. 

Suppose a dresser drawer has blue shirts, yellow shirts, red shirts, and green shirts so that if a shirt is pulled from the drawer at random, each color has an equal chance of being drawn. P(Green) = P(Blue) = P(Red) = P(Yellow) = ¼. Complete parts (a) – (d) to create a probability distribution for the number of yellow shirts if two shirts are pulled from the drawer at random (replacing the shirt after each draw).

(a) List each possible outcomefor the colors of the shirts if two shirts are drawn randomly from the drawer.

Green, Blue, / Green, Red,  / Green, Yellow, /  Green, Green

Blue, Green / Blue, Blue / Blue, Red / Blue, Yellow

Red, Green / Red, Blue / Red, Red / Red, Yellow

Yellow, Green / Yellow, Blue / Yellow, Red / Yellow, Yellow

(b) List the possible events for the number of yellow shirtsif two shirts are drawn randomly from the drawer.

Green, Yellow / Blue, Yellow / Red, Yellow

Yellow, Yellow

(c) Find the probability of each event from part (b).

P (X=L) = 3/Total Outcomes

P (X=L) = 3/16

P (X=2) = L/16

(d) Make a table that displays each event from (b) and the corresponding probability from (a). This is a probability distribution for the number of yellow shirts drawn when two shirts are randomly pulled from the drawer.

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